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Bergman kernel and hyperconvexity index (Q2363705)

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Language	Label	Description	Also known as
English	Bergman kernel and hyperconvexity index	scientific article

Statements

scholarly article

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Bergman kernel and hyperconvexity index (English)

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Analysis \& PDE

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publication date

26 July 2017

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full work available at URL

https://arxiv.org/abs/1610.07016

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zbMATH Keywords

Bergman kernel

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hyperconvexity index

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MaRDI profile type

MaRDI publication profile

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A global estimate for the Diederich-Fornaess index of weakly pseudoconvex domains

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On sparse sets with the Green function of the highest smoothness

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Irregularity of the Bergman projection on a smooth bounded domain in \({\mathbb{C}}^ 2\)

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Behavior of the Bergman projection on the Diederich-Fornæss worm

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Coefficient estimates for negative powers of the derivative of univalent functions

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The Bergman metric and the pluricomplex Green function

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Hyperconvexity and Bergman completeness

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Sobolev estimates for the \({\bar \partial}\)-Neumann operator on domains in \({\mathbb{C}}^ n\) admitting a defining function that is plurisubharmonic on the boundary

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The Integrability of the Derivative in Conformal Mapping

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Isometric imbedding of complex manifolds

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On coefficient problems for univalent functions and conformal dimension

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Some results connected with Brennan's conjecture

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Completeness of the Bergman metric on non-smooth pseudoconvex domains

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Parameter dependence of the Bergman kernels

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Comparison of the Bergman and Szegö kernels

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On the \(\bar {\partial{}}\) equation in weighted \(L^ 2\) norms in \(\mathbb{C} ^ 1\)

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Pointwise estimates for the weighted Bergman projection kernel in \({\mathbb C}^n\), using a weighted \(L^2\) estimate for the \(\bar\partial\) equation

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Mesures de Monge-Ampère et mesures pluriharmoniques. (Monge-Ampère measures and pluriharmonic measures)

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An estimate for the Bergman distance on pseudoconvex domains

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\(L^ 2\)-cohomology and index theorem for the Bergman metric

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The Bergman projection on fat Hartogs triangles: $L^p$ boundedness

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The Diederich-Fornæss exponent and non-existence of Stein domains with Levi-flat boundaries

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The order of plurisubharmonicity on pseudoconvex domains with Lipschitz boundaries

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Approximation in the Mean by Analytic Functions

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The Bergman metric on hyperconvex domains

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THE PLURICOMPLEX GREEN FUNCTION ON PSEUDOCONVEX DOMAINS WITH A SMOOTH BOUNDARY

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Analysis and geometry on worm domains

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Sampling in weighted \(L^p\) spaces of entire functions in \(\mathbb{C}^n\) and estimates of the Bergman kernel

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On the dynamics of rational maps

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The Kobayashi balls of (\({\mathbb {C}}\)-)convex domains

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On the bergman kernel of hyperconvex domains

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On the extension of \(L^ 2\) holomorphic functions

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Hardy and Bergman spaces on hyperconvex domains and their composition operators

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Uniformly perfect sets and the Poincaré metric

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The kernel function of an orthonormal system

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Holomorphic Motions and Polynomial Hulls

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Metric properties of harmonic measures

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Off-diagonal decay of toric Bergman kernels

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Identifiers

zbMATH Open document ID

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10.2140/apde.2017.10.1429

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2363705

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